The value of the parameter a such that the area bounded by `y=a^(2)x^(2)+ax+1,` coordinate axes, and the line x=1 attains its least value is equal to

The value of the parameter a such that the area bounded by y=a^2x^2+a x+1, coordinate axes, and the line x=1 attains its least value is equal to 1/4s qdotu n i t s (b) 1/2s qdotu n i t s 3/4s qdotu n i t s (d) -1s qdotu n i t s

Value of the parameter ' a ' such that the area bounded by y=a^2x^2+a x+1, coordinate axes and the line x=1, attains its least value, is equal to a. -1/4 b. -1/2 c. -3/4 d. -1

Value of the parameter ' a ' such that the area bounded by y=a^2x^2+a x+1, coordinate axes and the line x=1, attains its least value, is equal to a.-1/4 b. -1/2 c. -3/4 d. -1

If A_(n) is the area bounded by y=(1-x^(2))^(n) and coordinate axes,n in N, then

The value of a such that the area bounded by the curve y=x^(2)+2ax+3a^(2) , the coordinate axes and the line x=1 . The coordinate axes and the line x=1 . Attains its least value is equal to

The value of a such that the area bounded by the curve y=x^(2)+2ax+3a^(2) , the coordinate axes and the line x=1 . The coordinate axes and the line x=1 . Attains its least value is equal to

If area bounded by y=f(x), the coordinate axes and the line x=a is given by ae^(a), then f(x) is

If the area bounded by the curve y=f(x), the coordinate axes and the line x=x_1 is given by x_1 .e^(x_1) , then f(x) is equal to

The value of positive real parameter 'a' such that area of region blunded by parabolas y=x -ax ^(2), ay = x ^(2) attains its maximum value is equal to :

The value of positive real parameter 'a' such that area of region blunded by parabolas y=x -ax ^(2), ay = x ^(2) attains its maximum value is equal to :